## Elementary Algebra

The domain of this function is $\text{all real numbers where}\; x≠6$.
When this question asks for the domain of the function, it is asking for what values of x can be legally substituted into the function. (For instance, in the function $\frac{3}{x}$, $x≠0$ because this would make the denominator of the fraction equal to 0, making the function at that value be undefined.) In the case of the function $y=\frac{1}{x-6}$, we can't substitute $6$ into the function as it would cause the denominator to be $6-6=0$, making the fraction undefined. Therefore, the domain of this function is $\text{all real numbers where}\; x≠6$.